Official Quant thread for CAT 2013

@rachit_28 said:
4, 5, 9, 18, 34, ?43495059
59

5-4=1=1^2
9-5=4 = 2^2
18-9=9 = 3^2
34-18=16 = 4^2
s0 34 + 25=59

@chillfactor said:
Sum of digits of n consecutive integers is not divisible by 9. What is the maximum possible value of n.
Something isn't right here..
Take -9,-8,-7,...,0,1,2,...,8,9,10
Sum = 91 -> not divisible by 9

This can be extended to any length.
Two men are walking towards each other along a railway track. They each start at opposite ends
of the railway track. One man is walking faster than the other. They pass each other 720 yards from
the nearest of the two ends.
When each man reaches the other end of the track, he stops for a cigarette. Both men take exactly
the same amount of time to smoke a cigarette. Then they turn around and head back to their original
starting positions. This time they meet 400 yards from the other end of the track.
What is the length of the track?
a) 1760 yards b) 2000 yards c) 2160 yards d) 1540 yards
@jain4444 said:
yeah I wasted 1 term by taking it as "1" a ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is.(A) (square root 143)/2 km (B) 12 km (C) square root6 (D) 8 km
c. ??
@jain4444 said:
yeah I wasted 1 term by taking it as "1" a ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is.(A) (square root 143)/2 km (B) 12 km (C) square root6 (D) 8 km
option 1. without pen pencil
@gnehagarg said:
Digital sum 7*8=A+B+872=A+B+87B=1,A=4B=2 A=8 no solutionA=4 ,B=1
Can you please explain the logic ?
@chillfactor said:

Sum of digits of n consecutive integers is not divisible by 9. What is the maximum possible value of n.
Does this question mean this :

10, 11, 12,....17 -> The sum of digits of all these numbers is not divisible by 9 ?

OR does it mean this :

10,11,12.. 16 -> 1 + 2 + .. 7 = 7*4 = 28 .. and the sum of the sum of digits is not divisible by 9 ?

If first, then n = 8 ?
If second, then n = infinite(of the form 9k-1)

PS: Sorry for my immaturity 😃
@jain4444 said:
a ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is.(A) (square root 143)/2 km (B) 12 km (C) square root6 (D) 8 km
(A) ?
30kmph = 30*5/18 = 50/6 m/s
Time taken to move 500m = 500/(50/6) = 60s
In 60seconds the wave travels 200*60 = 12000m
So depth = 6km (approx.)

@Cat.Aspirant123 said:
Two men are walking towards each other along a railway track. They each start at opposite endsof the railway track. One man is walking faster than the other. They pass each other 720 yards fromthe nearest of the two ends.When each man reaches the other end of the track, he stops for a cigarette. Both men take exactlythe same amount of time to smoke a cigarette. Then they turn around and head back to their originalstarting positions. This time they meet 400 yards from the other end of the track.What is the length of the track?a) 1760 yards b) 2000 yards c) 2160 yards d) 1540 yards
option A?
@Cat.Aspirant123 said:
Two men are walking towards each other along a railway track. They each start at opposite endsof the railway track. One man is walking faster than the other. They pass each other 720 yards fromthe nearest of the two ends.When each man reaches the other end of the track, he stops for a cigarette. Both men take exactlythe same amount of time to smoke a cigarette. Then they turn around and head back to their originalstarting positions. This time they meet 400 yards from the other end of the track.What is the length of the track?a) 1760 yards b) 2000 yards c) 2160 yards d) 1540 yards
a.1760
@grkkrg said:
Something isn't right here..Take -9,-8,-7,...,0,1,2,...,8,9,10Sum = 91 -> not divisible by 9This can be extended to any length.
Let me reframe the question

P is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 9. Find the maximum possible value of n.

@naga25french nothing was mentioned in the question (a1, a2, a3, ..., an can be equal or may be not). They can be equal unless mentioned in the question

@rubikmath said:
c. ??
wrongly posted the option no. its 6 km
@rubikmath said:
a.1760
how
@chillfactor said:
Let me reframe the questionP is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 9. Find the maximum possible value of n.@naga25frenchnothing was mentioned in the question (a1, a2, a3, ..., an can be equal or may be not). They can be equal unless mentioned in the question
17?
@maddy2807 said:
option A?
how
@chillfactor said:
Let me reframe the questionP is a set of n consecutive integers such that sum of digits of any of these n numbers is not divisible by 9. Find the maximum possible value of n.@naga25frenchnothing was mentioned in the question (a1, a2, a3, ..., an can be equal or may be not). They can be equal unless mentioned in the question
17 ?? -8 to +8
@gupanki2 said:
Rohan has a certain amount of money and sohan has a greater amount. If sohan gives Rs 60 to rohan, then the amount with Rohan and Sohan are the same. If Rohan gives 30 Rs to Sohan, the amount with Sohan is thrice the amount with Rohan. What is the total amount with Rohan and Sohan together?
rohan = 120,sohan = 240
120+240=360
@chillfactor said:

Sum of digits of n consecutive integers is not divisible by 9. What is the maximum possible value of n.
sir jii self made hai kya ?

-(x - 1) -2 -1 +0 +1 +2 +x

ab kya kare ?
@rubikmath said:
17 ?? -8 to +8
0 is not divisible by 9 ? 😐
@Cat.Aspirant123 said:
how
let the distance be x
equate the ratio of distances travelled by A and B :
720/(x-720) = (x-320)/(x+320)
--> x=1760